Optimal discrete model reduction by multipoint Padé approximation

T. Nigel Lucas

Research output: Contribution to journalArticle

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Abstract

A discrete-time multipoint Padé approximation method is presented that derives optimal reduced-order models. The method is seen to be easily implemented using a recently developed way of calculating Padé approximants. An important result that relates the optimal model to multipoint Padé approximation is proved and the whole process isseen to consist of multiplying matrices and solving linear equations. Numerical examples are given to illustrate the application of the new method.
Original languageEnglish
Pages (from-to)855-867
Number of pages13
JournalJournal of the Franklin Institute
Volume330
Issue number5
DOIs
StatePublished - Sep 1993

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Padé approximation
Reduced order model
Padé approximants
Model reduction
Discrete model
Approximation methods
Linear equation
Discrete-time
Numerical examples
Model
Linear equations

Cite this

Lucas, T. Nigel / Optimal discrete model reduction by multipoint Padé approximation.

In: Journal of the Franklin Institute, Vol. 330, No. 5, 09.1993, p. 855-867.

Research output: Contribution to journalArticle

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Optimal discrete model reduction by multipoint Padé approximation. / Lucas, T. Nigel.

In: Journal of the Franklin Institute, Vol. 330, No. 5, 09.1993, p. 855-867.

Research output: Contribution to journalArticle

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